Shell-model study for GT-strengths corresponding to $\beta$ decay of $^{60}$Ge and $^{62}$Ge

TL;DR

This study uses shell-model calculations in different model spaces to analyze GT-strengths related to the $eta$ decay of $^{60}$Ge and $^{62}$Ge, comparing results with recent experimental data.

Contribution

It provides a comprehensive shell-model analysis of GT-strengths for $^{60}$Ge and $^{62}$Ge using multiple interactions and model spaces, aligning with recent experimental findings.

Findings

Shell-model results agree reasonably with experimental data.

Different model spaces and interactions were used for comprehensive analysis.

The study enhances understanding of $eta$ decay in Ge isotopes.

Abstract

In the present work, we have reported a comprehensive shell-model study of GT-strengths for recently available experimental data for $^{60}$Ga and $^{62}$Ga from RIKEN Nishina Center [Phys. Rev. C 103, 014324 (2021)] populated by $\beta $ decay of the $^{60}$Ge and $^{62}$Ge, respectively. We have performed shell-model calculations in two different model spaces, the first set of calculations in the $fp$ model space using KB3G and GXPF1A interactions, while the second set in $f_{5/2}pg_{9/2}$ model space using JUN45 and jj44b effective interactions. Our shell-model results in $fp$ model space are in a reasonable agreement with the available experimental data.